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Finding the Fourth Proportional to 213.67, 293.27 and 189.82

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Solution

The fourth proportional to 213.67, 293.27 and 189.82 is: 260.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.67 : 293.27 = 189.82 : x
  2. Step 2: Convert to fraction form
    213.67/293.27 = 189.82/x
  3. Step 3: Cross multiply
    213.67x = 293.27 × 189.82
  4. Step 4: Simplify right side
    213.67x = 55,668.51
  5. Step 5: Solve for x
    x = 55,668.51/213.67
  6. Step 6: Final answer
    x = 260.53

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.